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Finding the Fourth Proportional to 102,457.31, 153,781.94 and 63,091.31

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Solution

The fourth proportional to 102,457.31, 153,781.94 and 63,091.31 is: 94,696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,457.31 : 153,781.94 = 63,091.31 : x
  2. Step 2: Convert to fraction form
    102,457.31/153,781.94 = 63,091.31/x
  3. Step 3: Cross multiply
    102,457.31x = 153,781.94 × 63,091.31
  4. Step 4: Simplify right side
    102,457.31x = 9,702,303,437.76
  5. Step 5: Solve for x
    x = 9,702,303,437.76/102,457.31
  6. Step 6: Final answer
    x = 94,696.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.